Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
15 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556, 1.3333], M:[0.6667, 0.8889], q:[0.5556], qb:[0.5556], phi:[0.2222]] | [X:[[2], [3]], M:[[-3], [-4]], q:[[2]], qb:[[2]], phi:[[-1]]] | 1 | {a: 11/24, c: 1/2, X1: 14/9, X2: 4/3, M1: 2/3, M2: 8/9, q1: 5/9, qb1: 5/9, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$ | ${}$ | -4 | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. + t^7.333 + 7*t^8. - t^8.667 - t^3.667/y - t^6.333/y + t^7./y - t^3.667*y - t^6.333*y + t^7.*y | t^2.667/g1^4 + 3*g1^3*t^4. + g1^2*t^4.667 + t^5.333/g1^8 - 4*t^6. + t^7.333/g1^2 + t^8./g1^12 + t^8./g1^3 + 5*g1^6*t^8. - t^8.667/g1^4 - t^3.667/(g1*y) - t^6.333/(g1^5*y) + (g1^3*t^7.)/y - (t^3.667*y)/g1 - (t^6.333*y)/g1^5 + g1^3*t^7.*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
23 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }M_{2}^{2}$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5, 1.25], M:[0.75, 1.0], q:[0.5], qb:[0.5], phi:[0.25]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, X2: 5/4, M1: 3/4, M2: 1, q1: 1/2, qb1: 1/2, phi1: 1/4} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
67 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.8889, 1.1111], qb:[0.5556, 0.5556], phi:[0.2222]] | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. - t^3.667/y - t^3.667*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 10/9, qb1: 5/9, qb2: 5/9, phi1: 2/9} |
75484 | SU2adj2nf1 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.5556], qb:[0.5556], phi:[1.0, 0.2222], S:[], Sb:[], A:[], Ab:[]] | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. - t^3.667/y - t^3.667*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 5/9, qb1: 5/9, phi1: 1, phi2: 2/9} |
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
8 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[0.2414]] | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*y | detail |